Absolute permeability in heterogeneous and anisotropic porous media evaluated

A publication in Lobachevskii Journal of Mathematics continues a cycle of KFU's works in filtrations characteristics of physical and digital models of porous media.

Absolute permeability is an important component of the filtration characteristics of a porous medium; however, measuring this property in laboratory conditions is a laborious task, since it requires expensive laboratory equipment, a long experiment time, and labor costs for the preparation of samples and fluids. This stimulated the researchers to modify the widely used Kozeny-Carman equation.

"The main objective was to propose a new analytic dependence tying absolute permeability with anisotropic characteristics of a porous medium and taking into account the heterogeneity of pore space," says co-author, Associate Professor of the Department of Mathematical Models in Geology Timur Zakirov. "After over a thousand calculations and approximations of resulting dependences a new formula was proposed to link permeability with three characteristics of a porous medium—anisotropy, heterogeneity, and porosity."

More information:
Zakirov, T.R., Kolchugin, A.N., Galeev, A.A. et al. Evaluation of Absolute Permeability in Heterogeneous and Anisotropic Porous Media Using the Lattice Boltzmann Simulations. Lobachevskii J Math 42, 3048–3059 (2021).

doi.org/10.1134/S1995080221120404

Provided by Kazan Federal University